Pool model: a mass preserving multi particle aggregation process
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908970148429824 |
|---|---|
| author | Cai, Zhenhao Procaccia, Eviatar B. Zhang, Yuan |
| author_facet | Cai, Zhenhao Procaccia, Eviatar B. Zhang, Yuan |
| contents | We present and study the Pool model in $\mathbb{R}^2$, a rotationally symmetric analogue of Multi-Particle Diffusion-Limited Aggregation (MDLA), in which particles ("droplets") perform continuous-time random walks and are absorbed upon entering a circular pool initially centered at the origin. Each absorbed particle increases the pool's mass, and the pool expands so that its area grows accordingly, yielding a natural mass-preserving dynamics. A central tool which is of independent interest is a version of Kurtz's theorem for this model, depicting the field of particles conditioned on the growth of the pool as an independent non-homogeneous Poisson point process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14851 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pool model: a mass preserving multi particle aggregation process Cai, Zhenhao Procaccia, Eviatar B. Zhang, Yuan Probability Mathematical Physics We present and study the Pool model in $\mathbb{R}^2$, a rotationally symmetric analogue of Multi-Particle Diffusion-Limited Aggregation (MDLA), in which particles ("droplets") perform continuous-time random walks and are absorbed upon entering a circular pool initially centered at the origin. Each absorbed particle increases the pool's mass, and the pool expands so that its area grows accordingly, yielding a natural mass-preserving dynamics. A central tool which is of independent interest is a version of Kurtz's theorem for this model, depicting the field of particles conditioned on the growth of the pool as an independent non-homogeneous Poisson point process. |
| title | Pool model: a mass preserving multi particle aggregation process |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2604.14851 |